Atkin-Lehner |
2- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30784m |
Isogeny class |
Conductor |
30784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
400192 = 26 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 -3 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59,-193] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:13:8] |
Generators of the group modulo torsion |
j |
360944128/6253 |
j-invariant |
L |
4.6170623543233 |
L(r)(E,1)/r! |
Ω |
1.7219927740664 |
Real period |
R |
1.3406160652522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30784o1 15392d1 |
Quadratic twists by: -4 8 |